258/104 as a Decimal and Mixed Number

258/104 as a decimal and mixed number expansion provides the detailed information about what is 258/104 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

258/104 as a Decimal
258/104 = 2.4808
Hence,
258/104 as a decimal equals to 2.4808
where,
258/104 is a given fraction,
The decimal expansion of 258/104 is 2.4808

258/104 as a Mixed Number
258/104 = (208 + 50)/104
= 208/104 + 50/104
= 2 + 50/104
= 2 50/104
258/104 = 2 50/104

Hence,
258/104 as a mixed number is 2 ⁵⁰/₁₀₄
where,
258/104 is a given fraction,
2 ⁵⁰/₁₀₄ is the mixed number representation of 258/104.

The below work with steps provide the detailed information about how to convert fraction 258/104 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 258/104

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 258/104.

step 2 The numerator is greater than the denominator of the fraction 258/104, so write the given fraction in the expression form in terms of denominator as like the below:
= 258/104
= 208 + 50/104
= (2 x 104) + 50/104

step 3 Make the above expression as individual fractions:
= (2 x 104)/104 + 50/104

step 4 Simplify the above expression:
= 2 x 104/104 + 50/104
= 2 + 50/104
= 2 + 25 x 2/52 x 2
= 2 + 25/52
2 + 25/52 can be written as a mixed number 2 ²⁵/₅₂.


step 5 Find the decimal equivalent for the fractional part 25/52 in the above expression:
= 2 + 0.4808
= 2.4808
258/104 = 2.4808

Hence,
258/104 as a decimal is 2.4808
258/104 as a mixed number is 2 ²⁵/₅₂